Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #23752835 | C2 | semidirect |
| 2. #23752609 | C2 | semidirect |
| 3. #23752597 | C2 | semidirect |
| 4. #23752573 | C2 | semidirect |
| 6. #23752443 | C2 | semidirect |
| 7. #23752323 | C2 | semidirect |
| 8. #23752319 | C2 | semidirect |
| 9. #23752297 | C2 | semidirect |
| 10. #23752170 | C2 | semidirect |
| 11. #470×C151 | C2 | semidirect |
| 109. C151 | #3173 | semidirect |
| 115. #470 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752835 | 2 |
| #23752609 | 2 |
| #23752597 | 2 |
| #23752573 | 2 |
| #23752465 | 2 |
| #23752443 | 2 |
| #23752323 | 2 |
| #23752319 | 2 |
| #23752297 | 2 |
| #23752170 | 2 |
| #470×C151 | 2 |
| #3173 | 151 |